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Finding the Third Proportional to 40,160 and 86,427

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Solution

The third proportional to 40,160 and 86,427 is: 185,996.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,160 : 86,427 = 86,427 : x
  2. Step 2: Convert to fraction form
    40,160/86,427 = 86,427/x
  3. Step 3: Cross multiply
    40,160x = 86,427 × 86,427
  4. Step 4: Simplify right side
    40,160x = 7,469,626,329
  5. Step 5: Solve for x
    x = 7,469,626,329/40,160
  6. Step 6: Final answer
    x = 185,996.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.